Back to Use shapes to describe objects — Problem 1 · Task Set 41

Exercises: Use Geometric Shapes to Describe Objects

Work through each section in order. When you choose a geometric model, say what shape
you picked and why. Use $\pi \approx 3.14159$ and round as each problem directs.

Grade 10·23 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-mg-a-1

Work through problems with immediate feedback

Warm-Up: Review What You Know

These problems review shape vocabulary and measurement skills you already have.

Nadia measures the diameter of a fence post three times and gets 11.8 cm, 12.0 cm, and 12.1 cm. What should she conclude about her measurements?

The measurements are unusable, because three attempts at the same quantity must agree exactly before any of them can be trusted.

She should discard the two readings that differ from 12.0 cm, since a measurement in whole centimeters is the only kind precise enough to use.

Real measurements carry small uncertainty, so a value near 12 cm is a reasonable estimate of the diameter to work with.

She should average them and treat the result as the post's exact diameter, since averaging removes the uncertainty from a set of readings.